Question 155: Thermodynamics & KTG

Question

Column II gives certain systems undergoing a process. Column I suggests changes in some of the parameters related to the system. Match the statements in Column I to the appropriate process(es) from Column II:

Column I

Column II

(A)
The energy of the system is increased.
(P)
System : A capacitor, initially uncharged.Process : It is connected to a battery.

(B)
Mechanical energy is provided to the system, which is converted into energy of random motion of its parts.
(Q)
System : A gas in an adiabatic container filled with an adiabatic piston.Process : The gas is compressed by pushing the piston.

(C)
Internal energy of the system is converted into its mechanical energy.
(R)
System : A gas in a rigid container.Process : The gas gets cooled due to colder atmosphere surrounding it.

(D)
Mass of the system is decreased.
(S)
System : A heavy nucleus, initially at rest.Process : The nucleus fissions into two fragments of nearly equal masses and some neutrons are emitted.

(T)
System : A resistive wire loop.Process : The loop is placed in a time varying magnetic field perpendicular to its plane.

Accepted Answer

(A)$$	o$$(P), (Q), (T)
$$\bullet$$ Case (P) : $$U=\frac{1}{2}CV^2$$
$$\bullet$$ Case (Q) : Since the work is done on the system, the internal energy increases.
$$\bullet$$ Case (T) : time varying $$\overrightarrow B $$ creates an induced $$\overrightarrow E $$ causing current to flow. This dissipates heat in the loop: $$H=L^2(Rt)$$.
(B)$$	o$$(Q) : As explained above.
(C)$$	o$$(S)
$$\bullet$$ Case (S) : Mass  defect is converted into energy which is released.
(D)$$	o$$(S) : As explained above.

Answer

(A)$$	o$$(P), (S), (T); (B)$$	o$$(Q); (C)$$	o$$(S); (D)$$	o$$(S), (R)

Answer

(A)$$	o$$(P), (Q), (T); (B)$$	o$$(Q); (C)$$	o$$(S); (D)$$	o$$(S)

Answer

(A)$$	o$$(P), (Q), (T); (B)$$	o$$(T); (C)$$	o$$(S); (D)$$	o$$(S)

Answer

(A)$$	o$$(S), (Q), (T); (B)$$	o$$(Q); (C)$$	o$$(S); (D)$$	o$$(S)

Thermodynamics & KTG

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